An introduction to Sobolev spaces with applications in Calculus of Variations and Critical Point Theory
Steklov Research Institute of Mathematics of the Russian Academy of Sciences and Scuola Normale Superiore Pisa
2 CFU + 2 CFU on assignment completion
Lessons / Hours
Sobolev Spaces are the basis of the modern theory of variational differential equations. The Sobolev spaces occur in a wide range of questions including, for instance, differential geometry, harmonic analysis, engineering, mechanics, and physics.
Possible seminar on proposed/assigned specific argument
Banach and Hilbert spaces, Frechét Differential calculus, distributional derivatives.
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